Browsing by Subject "Schrödinger equation"

Now showing items 1-8 of 8

    • Dynamics of Many-Body Quantum Systems 

      Giménez Grau, Aleix (Universitat Politècnica de Catalunya, 2015-07-03)
      Bachelor thesis
      Open Access
      We study the ground state and the excitations of quantum bose systems. The hypernetted chain equations (HNC) are introduced and we show that the methods based on them produce acceptable approximations of the static structure ...

    • Growth of sobolev norms for the cubic defocusing NLS with a convolution potential 

      Guàrdia Munarriz, Marcel (2014-03-16)
      Article
      Open Access
      Fix s > 1. Colliander et al. proved in (Invent Math 181:39–113, 2010 )the existence of solutions of the cubic defocusing nonlinear Schrödinger equation in the two torus whose s -Sobolev norm undergoes arbitrarily large ...

    • Linear and Nonlinear Bullets of the Bogoliubov-de Gennes Excitations 

      Kumar, Shubham; Perego, A.M.; Staliunas, Kestutis (2017-01-27)
      Article
      Open Access
      We report on the focalization of Bogoliubov–de Gennes excitations of the nonlinear Schrödinger equation in the defocusing regime (Gross-Pitaevskii equation for repulsive Bose-Einstein condensates) with a spatially modulated ...

    • Propagation of collective modes in non-overlapping dipolar Bose-Einstein condensates 

      Gallemí Camacho, Alberto (Universitat Politècnica de Catalunya, 2013-07-19)
      Master thesis
      Open Access
      [ANGLÈS] We have studied the propagation of different collective modes of excitation (dipolar, monopolar and quadrupolar) in double and triple-well configurations in dipolar Bose-Einstein Condensates, due to the long-range ...

    • Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies 

      Puig Sadurní, Joaquim; Simó Torres, Carlos (2011)
      Article
      Restricted access - publisher's policy
      n this article we investigate numerically the spectrum of some representative examples of discrete one-dimensional Schrödinger operators with quasi-periodic potential in terms of a perturbative constant b and the spectral ...

    • Shadowing of non-transversal heteroclinic chains 

      Delshams Valdés, Amadeu; Simon, Adriá; Zgliczynski, Piotr (2017-12-01)
      Article
      Open Access
      © 2017 Elsevier Inc. We present a new result about the shadowing of non-transversal chain of heteroclinic connections based on the idea of dropping dimensions. We illustrate this new mechanism with several examples. As an ...

    • Software refactoring: solving the time-dependent Schrodinger equation via fast Fourier transforms and parallel programming 

      Khwaldeh, Ali; Tahat, Amani; Martí Rabassa, Jordi (2012-10-30)
      Article
      Restricted access - publisher's policy
      In this study a multiprocessor C++ message passing interface implementation of a new bit-reversal algorithm to numerically solve the time dependent Schrodinger equation using a spectral method based on Fourier transform ...

    • Symmetries of the Free Schrodinger Equation in the Non-Commutative Plane 

      Batlle Arnau, Carles; Gomis, Jaoquim; Kamimura, kiyoshi (2014-01-01)
      Article
      Open Access
      We study all the symmetries of the free Schrodinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg ...